Question

\(\frac{8^{10}.9^8.25^{25}.7+1024^3.243^3.99.125^{17}}{11.32^5.10^4.15^{18}.25^{15}-10^{30}.25^{11}.27^6}\)

Answer 1

=\(\frac{2^{30}3^{16}.5^{50}.7+2^{30}.3^{15}.3^2.11.5^{48}}{11.2^{25}.2^4.5^4.3^{18}.5^{18}.5^{30}-2^{30}.5^{30}.5^{22}.3^{18}}\)

=\(\frac{2^{30}.3^{16}.5^{50}.7+2^{30}.3^{17}.11.5^{48}}{11.2^{29}.5^{52}.3^{18}-2^{30}.5^{52}.3^{18}}\)

=\(\frac{2^{30}.3^{16}.5^{48}.11\left(5^2.7+3\right)}{2^{29}.5^{52}.3^{18}.11\left(1-2\right)}\)

=\(\frac{2.\left(5^2.7+3\right)}{5^4.3^2\left(1-2\right)}\)

=\(\frac{2.178}{5^4.3^2.\left(-1\right)}\)

=\(\frac{356}{-5625}\)

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